Paper detail

Schwarzschild solution in extended teleparallel gravity

Tetrad field, with two unknown functions of radial coordinate and an angle $Φ$ which is the polar angle $ϕ$ times a function of the redial coordinate, is applied to the field equation of modified theory of gravity. Exact vacuum solution is derived whose scalar torsion, $T ={T^α}_{μν} {S_α}^{μν}$, is constant. When the angle $Φ$ coincides with the polar angle $ϕ$, the derived solution will be a solution only for linear form of $f(T)$ gravitational theory.